From a systems theory of sociology to modeling the onset and evolution of criminality

Nicola  Bellomo; Francesca  Colasuonno; Damián  Knopoff; Juan Soler; Nicola  Bellomo; Francesca  Colasuonno; Damián  Knopoff; Juan Soler

doi:10.3934/nhm.2015.10.421

Networks and Heterogeneous Media

2015, Volume 10, Issue 3: 421-441. doi: 10.3934/nhm.2015.10.421

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From a systems theory of sociology to modeling the onset and evolution of criminality

1.
Department of Mathematics, Faculty Sciences, King Abdulaziz University, Jeddah
2.
Department of Mathematical Sciences, Politecnico of Torino, Corso Duca degli Abruzzi 24, 10129, Torino
3.
Centro de Investigación y Estudios de Matemática (CONICET), Medina Allende s/n, 5000 Córdoba
4.
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada

Received: 01 October 2014 Revised: 01 January 2015
35Q91, 91C99, 91D10.

This paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory. This approach aims at capturing the complexity features of social systems. Complexity is related to the fact that individuals have the ability to develop specific heterogeneously distributed strategies, which depend also on those expressed by the other individuals. The modeling is developed by methods of generalized kinetic theory where interactions and decisional processes are modeled by theoretical tools of stochastic game theory.
- Kinetic theory,
- active particles,
- stochastic games,
- system theory,
- sociology,
- social systems,
- criminality
Citation: Nicola Bellomo, Francesca Colasuonno, Damián Knopoff, Juan Soler. From a systems theory of sociology to modeling the onset and evolution of criminality[J]. Networks and Heterogeneous Media, 2015, 10(3): 421-441. doi: 10.3934/nhm.2015.10.421

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Abstract

This paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory. This approach aims at capturing the complexity features of social systems. Complexity is related to the fact that individuals have the ability to develop specific heterogeneously distributed strategies, which depend also on those expressed by the other individuals. The modeling is developed by methods of generalized kinetic theory where interactions and decisional processes are modeled by theoretical tools of stochastic game theory.

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